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3. Squares and Square Roots
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Q6 of 114 Page 3

Find the smallest number by which 1152 must be divided so that it becomes a square. Also, find the square root of the number so obtained.

1152 = (2 × 2) × (2 × 2) × 2 × (3 × 3)

Here 2 is unpaired so we have to divide 1152 with 2


Therefore,


= 22 × 22 × 22 × 32


Hence,


Square root of numbers = = 2 × 2 × 2 × 3


= 24


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5

Find the smallest number by which 3645 must be divided so that it becomes a perfect square. Also, find the square root of the resulting number.

7

The product of two numbers is 1296. If one number is 16 times the other, find the numbers.

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Questions · 114
3. Squares and Square Roots
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